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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-281-pizza-toppings.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

938 B

id, title, challengeType, forumTopicId, dashedName
id title challengeType forumTopicId dashedName
5900f4861000cf542c50ff98 Problem 281: Pizza Toppings 5 301932 problem-281-pizza-toppings

--description--

You are given a pizza (perfect circle) that has been cut into m·n equal pieces and you want to have exactly one topping on each slice.

Let f(m,n) denote the number of ways you can have toppings on the pizza with m different toppings (m ≥ 2), using each topping on exactly n slices (n ≥ 1). Reflections are considered distinct, rotations are not.

Thus, for instance, f(2,1) = 1, f(2,2) = f(3,1) = 2 and f(3,2) = 16. f(3,2) is shown below:

Find the sum of all f(m,n) such that f(m,n) ≤ 1015.

--hints--

euler281() should return 1485776387445623.

assert.strictEqual(euler281(), 1485776387445623);

--seed--

--seed-contents--

function euler281() {

  return true;
}

euler281();

--solutions--

// solution required